The quantization of gravity coupled to a perfect fluid model leads to a Schrödingerlike equation, where the matter variable plays the role of time. The wave function can be determined, in the flat case, for an arbitrary barotropic equation of state p = αρ; solutions can also be found for the radiative non-flat case. The wave packets are constructed, from which the expectation value for the scal...

§0. Introduction §1. The Étale Integral Structure on the Universal Extension §2. The Étale Integral Structure for an Ordinary Elliptic Curve §2.1. Some p-adic Function Theory §2.2. The Verschiebung Morphism §3. Compactified Hodge Torsors §4. The Étale Integral Structure on the Hodge Torsors §4.1. Notation and Set-Up §4.2. Degenerating Elliptic Curves §4.3. Ordinary Elliptic Curves §4.4. The Gen...

A simple but novel and applicable approach is proposed to solve the problem of smoothing effect of ordinary kriging estimate which is widely used in mining and earth sciences. It is based on transformation equation in which Z scores are derived from ordinary kriging estimates and then rescaled by the standard deviation of sample data and the sample mean is added to the result. It bears the grea...

We elaborate on the recent suggestion to consider averaging of Cauchy identities for Schur functions over power sum variables. This procedure has apparent parallels with Borel transform, only it changes number combinatorial factors like dR in sums Young diagrams instead just factorials ordinary numbers. It provides a universal view previously known, but seemingly random identities.

As a generalization of the triple I method, the universal triple Imethod is investigated from the viewpoints of both fuzzy reasoningand fuzzy controller. The universal triple I principle is putforward, which improves the previous triple I principle. Then,unified form of universal triple I method is established based onthe (0,1)-implication or R-implication. Moreover, the reversibilityproperty o...

Using the Birman exact sequence for pure mapping class groups, we construct a universal Cannon-Thurston map onto boundary of curve complex surface with punctures call surviving complex. Along way prove hyperbolicity this and identify its as space laminations. As corollary obtain to ordinary complex, extending earlier work second author Mj Schleimer [Comment. Math. Helv. 86 (201...

The purpose of this paper is to study Sabinin algebras Hom-type. It shown that Lie, Malcev, Bol and other Hom-type are naturally To end, we provide a general key construction establish relationship between identities some class Hom-algebras ordinary algebras. Moreover, discuss new concept Hom-bialgebra, in relation with universal enveloping Hom-algebras. A based on primitive elements provided.

We show that moduli spaces of transversely cut-out (perturbed) pseudo-holomorphic curves in an almost complex manifold carry canonical relative smooth structures (relative to the space domain curves). The main point is these can be characterized by a universal property. tools required are ordinary gluing analysis combined with some fundamental results from polyfold theory Hofer--Wysocki--Zehnder.

a simple but novel and applicable approach is proposed to solve the problem of smoothing effect of ordinary kriging estimate which is widely used in mining and earth sciences. it is based on transformation equation in which z scores are derived from ordinary kriging estimates and then rescaled by the standard deviation of sample data and the sample mean is added to the result. it bears the grea...

We give a necessary and sufficient condition for the preservation of finite products by a reflection of a variety of universal algebras into an idempotent subvariety. It is also shown that simple and semi-left-exact reflections into subvarieties of universal algebras are the same. It then follows that a reflection of a variety of universal algebras into an idempotent subvariety has stable units...